The question is incorrect because of the apparent contradiction the question makes.
First statement says that a quantity S is equal to quantity r.
The second statement says that S = 174r.
Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.
Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
Distance traveled in 3 hrs was (speed in mph)(3 hrs)
Then s(3 hrs) + 12 mi = 132 mi.
Therefore, 3s = 120, and s = 120 miles / 3 hrs = 40 mph (answer)
C. f(x)=2/3x-2
<h2>
Explanation:</h2>
Looking at the graph we realize that the y-intercept is given by:
The Slope-intercept form of the equation of a line is given by:
So, our equation becomes:
So the only option that matches a negative y-intercept is C. Let's see that the slope 
. Look at the y-intercept, if you increase x by 3 units, then y increases by 2 units and goes from 
to 
. In other words:
<h2>Learn more:</h2>
Writing linear equations: brainly.com/question/12169569
#LearnWithBrainly
Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
